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27934336 = 27229953
BaseRepresentation
bin110101010001…
…1111010000000
31221120012201001
41222203322000
524122344321
62434421344
7456303133
oct152437200
957505631
1027934336
111484a531
129431854
135a309c1
1439d221a
1526bbc91
hex1aa3e80

27934336 has 32 divisors (see below), whose sum is σ = 55952100. Its totient is φ = 13891584.

The previous prime is 27934307. The next prime is 27934363. The reversal of 27934336 is 63343972.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 1308736 = 5160^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 27934295 and 27934304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28836 + ... + 29788.

Almost surely, 227934336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27976050).

27934336 is an abundant number, since it is smaller than the sum of its proper divisors (28017764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27934336 is an equidigital number, since it uses as much as digits as its factorization.

27934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its digits is 81648, while the sum is 37.

The square root of 27934336 is about 5285.2943153622. The cubic root of 27934336 is about 303.4213368885.

The spelling of 27934336 in words is "twenty-seven million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 229 458 916 953 1832 1906 3664 3812 7328 7624 14656 15248 29312 30496 60992 121984 218237 436474 872948 1745896 3491792 6983584 13967168 27934336